You would be more likely to get a really good answer if you would ask a more focused question.
The Civil Rights Movement was aimed at achieving equal legal rights for African Americans. They had been denied various rights, such as the right to vote and the right to enter public accomodations, that white people enjoyed.
During the 1960s, the movement moved from a focus on litigation to a focus on protest. Instead of filing lawsuits, the movement did things like conducting sit-ins and marches. This tactic helped lead to the passage of the Civil Rights Act of 1964 and the Voting Rights Act of 1965. These were the major victories for the movement.